What 2 square numbers subtract to make 3783?

What two square numbers subtract to make 3783? In other words, when you subtract one square number from another square number, the answer is 3783. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 3783

We solved the equation above and found this to be true:

68² - 29² = 3783

68² is 4624 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 3783?" is 4624 and 841 as illustrated below:

4624 - 841 = 3783

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 3783. Below we list alternate solutions if available.

23104 - 19321 = 3783
399424 - 395641 = 3783

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